Use the change of variable from the cartesian coordinates (x, y) to the polar coordinates (r,...

 

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Use the change of variable from the cartesian coordinates (x, y) to the polar coordinates (r, 0) given by arcos and y = r sine to show that the polar form of the Cauchy-Riemann equations for a single-valued analytic function. f(z) = u(r,0)+ iv(r, 0) is 1 Ov 1 = and r Or Use the change of variable from the cartesian coordinates (x, y) to the polar coordinates (r, 0) given by arcos and y = r sine to show that the polar form of the Cauchy-Riemann equations for a single-valued analytic function. f(z) = u(r,0)+ iv(r, 0) is 1 Ov 1 = and r Or